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# Distributive Property

Distributive Property. Look at the following pair of words. Firefly + Firetruck What do they have in common?. Fire fly + Fire truck What do they have in common? FIRE. So, if you pull out the common part fire what is left? Fly + Truck.

## Distributive Property

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1. Distributive Property

2. Look at the following pair of words.Firefly + FiretruckWhat do they have in common?

3. Firefly + FiretruckWhat do they have in common?FIRE

4. Written using the distributive property…Fire (fly + truck)

5. Written using the distributive property…Fire (fly + truck)

6. 1. Look at the following pair of words.Racecar + RacetrackWhat do they have in common?Write it using the distributive property_______ ( ______ + _______)

7. 2. Look at the following pair of words.Doghouse + DogboneWhat do they have in common?Write it using the distributive property_______ ( ______ + _______)

8. 3. Look at the following pair of words.Icecream + IcecubeWhat do they have in common?Write it using the distributive property_______ ( ______ + _______)

9. 4. Look at the following pair of words.Lunchroom + LunchmoneyWhat do they have in common?Write it using the distributive property_______ ( ______ + _______)

10. 5. Look at the following pair of words.Toothbrush + ToothpasteWhat do they have in common?Write it using the distributive property_______ ( ______ + _______)

11. 6. Look at the following pair of words.Earring + Earwax What do they have in common?Write it using the distributive property_______ ( ______ + _______) Gross!

12. Now let’s think about numbers: 42 + 12 = 6(7 + 2) Is this statement true or false? Explain your thinking.

13. Now let’s think about numbers: 6(7 + 2) = (6 x 7) + (6 x 2) Is this statement true or false? Explain your thinking.

14. Now let’s think about numbers: 6(7 + 2) = (6 x 7) + ( 6 x 2) = 42 + 2 Is this statement true or false? Explain your thinking.

15. Now let’s think about numbers: 6(7 + 2) = (6 x 7) + ( 6 x 2) = 42 + 2 Look at the expression on the left side of the equation. Can you explain the use of the number 6? How is 6 related to 42 and 12?

16. Now, let’s try it with a few numbers…20 + 30

17. 20 + 30What do they have in common? 2, 5, 10 What is the largest factor in common? 10: it is the GCF We can use 10 to rewrite 20 + 30 using the distributive property.

18. 20 + 30Since 10 is the largest in common, 10 would be “pulled out” to distribute (just like we did with common words).10 ( __ + __ )

19. 20 + 30Think:10 x __ = 20 and 10 x __ = 3010 ( __ + __ )

20. 20 + 3010 ( 2 + 3 ) Rewriting the problem in this form is called using the distributive property. The distributive property can help us do mental computation more easily.

21. 18 + 24___ ( __ + __ )

22. 16 + 30___ ( __ + __ )

23. 18 + 36___ ( __ + __ )

24. 27 + 63___ ( __ + __ )

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